NSU 2014-2015 Undergraduate Catalog

401 Nova Southeastern University • Undergraduate Student Catalog • 2014–2015 COURSE DESCRIPTIONS MATH 2020H Applied Statistics Honors (3 credits) This course is an introductory course in the use of descriptive and inferential statistics. Topics include graphical and numerical descriptive measures, probability, common random variables and their distributions including the binomial and normal distributions, the Central Limit Theorem, sampling procedures, confidence intervals, and hypothesis testing. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisite: MATH 1040 or higher; Honors students only. MATH 2080 Applied Calculus (3 credits) Functions, graphs and derivatives of algebraic functions; introduction to derivatives of trigonometric functions, application of derivatives to business problems; and related rates and maximum/minimum problems. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisite: Challenge examination or MATH 1200. MATH 2100 Calculus I (4 credits) Functions, limits, and derivatives of algebraic functions. Introduction to derivatives of trigonometric functions, logarithmic functions; application of derivatives to physics problems; related rates and maximum/minimum problems, and definite and indefinite integrals with applications. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisite: Challenge examination or MATH 1250. MATH 2100H Calculus I Honor (4 credits) Functions, limits, and derivatives of algebraic functions. Introduction to derivatives of trigonometric functions, logarithmic functions; application of derivatives to physics problems; related rates and maximum/minimum problems, and definite and indefinite integrals with applications. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisites: Challenge examination or MATH 1250; Honors students only. MATH 2200 Calculus II (4 credits) Riemann sums; the definite integral; method of integration; continuation of exponential, logarithmic functions, and inverse trigonometric functions. L’Hopital’s rule and improper integrals. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisite: MATH 2100 or MATH 2100H. MATH 2200H Calculus II Honors (4 credits) Riemann sums; the definite integral; method of integration; continuation of exponential, logarithmic functions, and inverse trigonometric functions. L’Hopital’s rule and improper integrals. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisite: MATH 2100 or MATH 2100H and Test Code HONR = PASS. MATH 2250 Euclidean Geometry (3 credits) Plane Euclidean geometry starts with a vocabulary of terms, definitions, and postulates, works its way into direct and indirect proofs, and finishes with similar figures, triangles, circles, and areas. The study of coordinate, solid, and non-Euclidean geometrics will be introduced. Prerequisite: MATH 1200. MATH 2500 Introduction to Advanced Mathematics (3 credits) This course is an introduction to concepts encountered in abstract mathematics that are common to most fields in mathematics. Topics covered include: logic, set theory, functions, relations, cardinality, mathematical induction, algebraic structures and the real number system. Optional topics may be included based upon the discretion of the instructor. There will be an emphasis in writing formal mathematical proofs. Prerequisite: MATH 2200 MATH 3030 Applied Statistics II (3 credits) Introductory aspects of inferential statistics and experimental design are covered. Course material includes hypothesis testing and estimation, analysis of variance, multiple comparison procedures, linear and multiple correlation and regression methods, chi-square tests, nonparametric techniques, and elementary design of experiments. Stress will be placed on interpreting studies that employ these techniques. Prerequisite: MATH 3020 or MATH 3020H or MATH 2020 or MATH 2020H. MATH 3050 Mathematics and Biology (3 credits) This course provides an introduction to upper divisional mathematics and its applications in life sciences. Multi- variate calculus topics including partial differentiation and Lagrange multipliers are introduced with application to constrained optimization problems in resource management and ecology. Linear algebra topics including determinates and eigen-values and vectors are introduced with application to discrete time dynamical systems models used in ecology and epidemiology. Dynamical systems topics of phase-planes and null-clines are introduced to study non-linear oscillator models for rhythmic behavior in neural impulse generation and the heart-beat. Prerequisite: MATH 2100 or MATH 2100H. MATH 3200 Calculus III (4 credits) Functions of several variables, surfaces, in three-space, vectors, techniques of partial differentiation and multiple integration with applications. Vector calculus topics will include the theorems of Green, Gauss and Strokes. This course has been exempted from the requirements of the Writing Across the Curriculum policy. Prerequisite: MATH 2200. MATH 3260 Combinatorics (3 credits) This course begins with the Pigeonhole principle and studies permutations and combinations. Students will learn the techniques for counting and enumeration